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Finding the Third Proportional to 102,670 and 153,587

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Solution

The third proportional to 102,670 and 153,587 is: 229,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670 : 153,587 = 153,587 : x
  2. Step 2: Convert to fraction form
    102,670/153,587 = 153,587/x
  3. Step 3: Cross multiply
    102,670x = 153,587 × 153,587
  4. Step 4: Simplify right side
    102,670x = 23,588,966,569
  5. Step 5: Solve for x
    x = 23,588,966,569/102,670
  6. Step 6: Final answer
    x = 229,755.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.